I've been searching for guides on how to do the puzzle skip but haven't found anything. I would appreciate it if somebody could please assist me :)

Have you actually looked under the Guides section here? https://www.speedrun.com/uncharted1/guides/mdznp

I've seen that guide, however it is outdated...i'm trying to find the skip used in the more recent runs

There currently are no guides for the new puzzle skip unfortunately. However, recently I've been in the process of trying to make an updated guide on that chapter with the limited tools and equipment I have. But it's been a very lengthy and slow process so far, so Im expecting it to take quite a while still until it's finished.